Topology (from the Greek τόπος, “place”, and λόγος, “study”) is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing. It emerged through the development of concepts from geometry and set theory, such as space, dimension, and transformation.
Ideas that are now classified as topological were expressed as early as 1736. Toward the end of the 19th century, a distinct discipline developed, which was referred to in Latin as the geometria situs (“geometry of place”) or analysis situs (Greek-Latin for “picking apart of place”). This later acquired the modern name of topology. By the middle of the 20th century, topology had become an important area of study within mathematics.
The word topology is used both for the mathematical discipline and for a family of sets with certain properties that are used to define a topological space, a basic object of topology. Of particular importance are homeomorphisms, which can be defined as continuous functions with a continuous inverse.
Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda
Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda
Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda
This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful to...
36:27
Introduction to Higher Mathematics - Lecture 14: Topology
Introduction to Higher Mathematics - Lecture 14: Topology
Introduction to Higher Mathematics - Lecture 14: Topology
Here we delve a bit into the realm of topology, adding a notion of "closeness" to our sets and seeing how that helps us understand the real numbers.
11:02
Topology of a Twisted Torus - Numberphile
Topology of a Twisted Torus - Numberphile
Topology of a Twisted Torus - Numberphile
Featuring Professor Carlo Séquin - see more from him at: http://bit.ly/carlosequin More on this topic soon... Animation by Pete McPartlan: http://bit.ly/Pete...
3:50
Hitler Learns Topology
Hitler Learns Topology
Hitler Learns Topology
Hitler gets confused about the topological definitions of open and closed sets. Then he totally freaks out.
14:58
Topology - Part 1
Topology - Part 1
Topology - Part 1
Part 1 of the Topology series from Why U. A humorous look at the topology of curved space. For more information visit www.WhyU.org.
30:06
AlgTop0: Introduction to Algebraic Topology
AlgTop0: Introduction to Algebraic Topology
AlgTop0: Introduction to Algebraic Topology
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in ...
56:29
Differential Topology | Lecture 1 by John W. Milnor
Differential Topology | Lecture 1 by John W. Milnor
Differential Topology | Lecture 1 by John W. Milnor
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp...
55:48
MathHistory17: Topology
MathHistory17: Topology
MathHistory17: Topology
This video gives a brief introduction to Topology. The subject goes back to Euler (as do so many things in modern mathematics) with his discovery of the Eule...
77:06
Lecture 1: Topology (International Winter School on Gravity and Light 2015)
Lecture 1: Topology (International Winter School on Gravity and Light 2015)
Lecture 1: Topology (International Winter School on Gravity and Light 2015)
As part of the world-wide celebrations of the 100th anniversary of Einstein's theory of general relativity and the International Year of Light 2015, the Scientific Organizing Committee makes available the central 24 lectures by Frederic P Schuller.
Titled "A thorough introduction to the theory of general relativity", the lectures introduce the mathematical and physical foundations of the theory in 24 self-contained lectures. The material is developed step by step from first principles and aims at an audience ranging from ambitious undergraduate students to beginning PhD students in mathematics and physics.
Satellite Lectures (see other vide
8:33
Topology #4 Open Balls
Topology #4 Open Balls
Topology #4 Open Balls
Open Balls in a Metric Space.
5:52
Computer Networking Tutorial - 14 - Star Topology
Computer Networking Tutorial - 14 - Star Topology
Computer Networking Tutorial - 14 - Star Topology
Visit my website at http://thenewboston.com for all of my videos! My Google+ - https://plus.google.com/108291790892450338168/posts Facebook - http://www.face...
3:25
CG101: What is Topology and Why is it important?
CG101: What is Topology and Why is it important?
CG101: What is Topology and Why is it important?
Learn more: http://www.digitaltutors.com/tutorial/712-CG101-Modeling When building 3d geometry, the layout of the edges is very important in getting good res...
13:40
General Topology Lecture 1 Part 1
General Topology Lecture 1 Part 1
General Topology Lecture 1 Part 1
Lecture written by Victor Victorov and edited and presented by James Dilts Definition and Examples.
57:34
Topology, Geometry and Life in Three Dimensions
Topology, Geometry and Life in Three Dimensions
Topology, Geometry and Life in Three Dimensions
If you imagine a three dimensional maze from which there is no escape, how can you map it? Is there a way to describe what all possible mazes look like, and how do mathematicians set about investigating them?
Subscribe for regular science videos: http://bit.ly/RiSubscRibe
Caroline Series describes how hyperbolic geometry is playing a crucial role in answering such questions, illustrating her talk with pictures that have inspired some striking examples of digital art.
Caroline Series is Professor of Mathematics at the Warwick Mathematics Institute, University of Warwick
Her academic interests are in hyperbolic geometry, Kleinian groups and d
Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda
Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda
Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda
This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful to...
36:27
Introduction to Higher Mathematics - Lecture 14: Topology
Introduction to Higher Mathematics - Lecture 14: Topology
Introduction to Higher Mathematics - Lecture 14: Topology
Here we delve a bit into the realm of topology, adding a notion of "closeness" to our sets and seeing how that helps us understand the real numbers.
11:02
Topology of a Twisted Torus - Numberphile
Topology of a Twisted Torus - Numberphile
Topology of a Twisted Torus - Numberphile
Featuring Professor Carlo Séquin - see more from him at: http://bit.ly/carlosequin More on this topic soon... Animation by Pete McPartlan: http://bit.ly/Pete...
3:50
Hitler Learns Topology
Hitler Learns Topology
Hitler Learns Topology
Hitler gets confused about the topological definitions of open and closed sets. Then he totally freaks out.
14:58
Topology - Part 1
Topology - Part 1
Topology - Part 1
Part 1 of the Topology series from Why U. A humorous look at the topology of curved space. For more information visit www.WhyU.org.
30:06
AlgTop0: Introduction to Algebraic Topology
AlgTop0: Introduction to Algebraic Topology
AlgTop0: Introduction to Algebraic Topology
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in ...
56:29
Differential Topology | Lecture 1 by John W. Milnor
Differential Topology | Lecture 1 by John W. Milnor
Differential Topology | Lecture 1 by John W. Milnor
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp...
55:48
MathHistory17: Topology
MathHistory17: Topology
MathHistory17: Topology
This video gives a brief introduction to Topology. The subject goes back to Euler (as do so many things in modern mathematics) with his discovery of the Eule...
77:06
Lecture 1: Topology (International Winter School on Gravity and Light 2015)
Lecture 1: Topology (International Winter School on Gravity and Light 2015)
Lecture 1: Topology (International Winter School on Gravity and Light 2015)
As part of the world-wide celebrations of the 100th anniversary of Einstein's theory of general relativity and the International Year of Light 2015, the Scientific Organizing Committee makes available the central 24 lectures by Frederic P Schuller.
Titled "A thorough introduction to the theory of general relativity", the lectures introduce the mathematical and physical foundations of the theory in 24 self-contained lectures. The material is developed step by step from first principles and aims at an audience ranging from ambitious undergraduate students to beginning PhD students in mathematics and physics.
Satellite Lectures (see other vide
8:33
Topology #4 Open Balls
Topology #4 Open Balls
Topology #4 Open Balls
Open Balls in a Metric Space.
5:52
Computer Networking Tutorial - 14 - Star Topology
Computer Networking Tutorial - 14 - Star Topology
Computer Networking Tutorial - 14 - Star Topology
Visit my website at http://thenewboston.com for all of my videos! My Google+ - https://plus.google.com/108291790892450338168/posts Facebook - http://www.face...
3:25
CG101: What is Topology and Why is it important?
CG101: What is Topology and Why is it important?
CG101: What is Topology and Why is it important?
Learn more: http://www.digitaltutors.com/tutorial/712-CG101-Modeling When building 3d geometry, the layout of the edges is very important in getting good res...
13:40
General Topology Lecture 1 Part 1
General Topology Lecture 1 Part 1
General Topology Lecture 1 Part 1
Lecture written by Victor Victorov and edited and presented by James Dilts Definition and Examples.
57:34
Topology, Geometry and Life in Three Dimensions
Topology, Geometry and Life in Three Dimensions
Topology, Geometry and Life in Three Dimensions
If you imagine a three dimensional maze from which there is no escape, how can you map it? Is there a way to describe what all possible mazes look like, and how do mathematicians set about investigating them?
Subscribe for regular science videos: http://bit.ly/RiSubscRibe
Caroline Series describes how hyperbolic geometry is playing a crucial role in answering such questions, illustrating her talk with pictures that have inspired some striking examples of digital art.
Caroline Series is Professor of Mathematics at the Warwick Mathematics Institute, University of Warwick
Her academic interests are in hyperbolic geometry, Kleinian groups and d
9:38
Common Physical Network Topologies - CompTIA Network+ N10-004: 2.3
Common Physical Network Topologies - CompTIA Network+ N10-004: 2.3
Common Physical Network Topologies - CompTIA Network+ N10-004: 2.3
See our entire index of CompTIA Network+ videos at http://www.FreeNetworkPlus.com - Networking fundamentals include many different physical network topology ...
42:29
Point-Set Topology 1: Open and Closed Sets
Point-Set Topology 1: Open and Closed Sets
Point-Set Topology 1: Open and Closed Sets
Our study of point set topology (also known as elementary topology & general topology) starts with definitions of open sets, closed sets, the topological spa...
54:04
Bob Franzosa - Introduction to Topology
Bob Franzosa - Introduction to Topology
Bob Franzosa - Introduction to Topology
http://www.coa.edu 2010.02.09 Introduction to Topology: From the Konigsberg Bridges to Geographic Information Systems. Topology is the study of the spatial p...
Plastic version: http://shpws.me/HEtj
This is joint work with Keenan Crane.
3:58
How to: Microsoft Active Directory Topology Diagrammer
How to: Microsoft Active Directory Topology Diagrammer
How to: Microsoft Active Directory Topology Diagrammer
In this video I walk what the Microsoft Active Directory Topology Diagrammer user interface looks like. We connect to my domain controller and draw visio diagrams of Active Directory.
14:46
ZBRUSH 4R7 TUTORIAL_TOPOLOGY METHOD FOR ZMODELER (DETAIL)
ZBRUSH 4R7 TUTORIAL_TOPOLOGY METHOD FOR ZMODELER (DETAIL)
ZBRUSH 4R7 TUTORIAL_TOPOLOGY METHOD FOR ZMODELER (DETAIL)
PLEASE DON'T FORGET TO LIKE , COMMENT ,SHARE AND SUBSCRIBE..:)
DOWNLOAD MODEL FROM DESCRIBTION OF VIDEO--
https://www.youtube.com/watch?v=RQ7nal5B2vA
ZBRUSH 4R7_TOPOLOGY METHOD FOR ZMODELER
In this tutorial, I shall cover the technique of creating topology for zmodeler.
Zmodeler is a new pack of tools for polymodeling in zbrush...In some cases zmodeler tools are awsome in use .However it is a first step of Pixology toward polymodeling....
This brush is geared specifically towards low polygon modeling, but not limited to. Adding-on to the standard methods of low polygon modeling, It has all in one Brush that will allow you not only access
46:34
Problems in Topology, Post-Perelman - Stephen Smale
Problems in Topology, Post-Perelman - Stephen Smale
Problems in Topology, Post-Perelman - Stephen Smale
2010 Clay Research Conference Problems in Topology, Post-Perelman Stephen Smale Clay Mathematics Institute.
Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda
This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful to...
This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful to...
Featuring Professor Carlo Séquin - see more from him at: http://bit.ly/carlosequin More on this topic soon... Animation by Pete McPartlan: http://bit.ly/Pete...
Featuring Professor Carlo Séquin - see more from him at: http://bit.ly/carlosequin More on this topic soon... Animation by Pete McPartlan: http://bit.ly/Pete...
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in ...
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in ...
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp...
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp...
This video gives a brief introduction to Topology. The subject goes back to Euler (as do so many things in modern mathematics) with his discovery of the Eule...
This video gives a brief introduction to Topology. The subject goes back to Euler (as do so many things in modern mathematics) with his discovery of the Eule...
As part of the world-wide celebrations of the 100th anniversary of Einstein's theory of general relativity and the International Year of Light 2015, the Scientific Organizing Committee makes available the central 24 lectures by Frederic P Schuller.
Titled "A thorough introduction to the theory of general relativity", the lectures introduce the mathematical and physical foundations of the theory in 24 self-contained lectures. The material is developed step by step from first principles and aims at an audience ranging from ambitious undergraduate students to beginning PhD students in mathematics and physics.
Satellite Lectures (see other videos on this channel) by Bernard F Schutz (Gravitational Waves), Domenico Giulini (Canonical Formulation of Gravity), Marcus C Werner (Gravitational Lensing) and Valeria Pettorino (Cosmic Microwave Background) expand on the topics of this central lecture course and take students to the research frontier.
Access to further material on www.gravity-and-light.org/lectures and www.gravity-and-light.org/tutorials
As part of the world-wide celebrations of the 100th anniversary of Einstein's theory of general relativity and the International Year of Light 2015, the Scientific Organizing Committee makes available the central 24 lectures by Frederic P Schuller.
Titled "A thorough introduction to the theory of general relativity", the lectures introduce the mathematical and physical foundations of the theory in 24 self-contained lectures. The material is developed step by step from first principles and aims at an audience ranging from ambitious undergraduate students to beginning PhD students in mathematics and physics.
Satellite Lectures (see other videos on this channel) by Bernard F Schutz (Gravitational Waves), Domenico Giulini (Canonical Formulation of Gravity), Marcus C Werner (Gravitational Lensing) and Valeria Pettorino (Cosmic Microwave Background) expand on the topics of this central lecture course and take students to the research frontier.
Access to further material on www.gravity-and-light.org/lectures and www.gravity-and-light.org/tutorials
Visit my website at http://thenewboston.com for all of my videos! My Google+ - https://plus.google.com/108291790892450338168/posts Facebook - http://www.face...
Visit my website at http://thenewboston.com for all of my videos! My Google+ - https://plus.google.com/108291790892450338168/posts Facebook - http://www.face...
Learn more: http://www.digitaltutors.com/tutorial/712-CG101-Modeling When building 3d geometry, the layout of the edges is very important in getting good res...
Learn more: http://www.digitaltutors.com/tutorial/712-CG101-Modeling When building 3d geometry, the layout of the edges is very important in getting good res...
If you imagine a three dimensional maze from which there is no escape, how can you map it? Is there a way to describe what all possible mazes look like, and how do mathematicians set about investigating them?
Subscribe for regular science videos: http://bit.ly/RiSubscRibe
Caroline Series describes how hyperbolic geometry is playing a crucial role in answering such questions, illustrating her talk with pictures that have inspired some striking examples of digital art.
Caroline Series is Professor of Mathematics at the Warwick Mathematics Institute, University of Warwick
Her academic interests are in hyperbolic geometry, Kleinian groups and dynamical systems. Her research has been on the theory of dynamical systems and geometric patterns in three-dimensional hyperbolic spaces.
Her work has been recognised through awards and prizes, most recently with the Senior Anne Bennett Prize from the London Mathematical Society. She is also a founding member of the European Women in Mathematics (EWM), which aims to support and encourage female mathematicians across Europe.
This was filmed at a Friday Evening Discourse at the Royal Institution on 28 November 2014.
Subscribe for regular science videos: http://bit.ly/RiSubscRibe
Watch more science videos on the Ri Channel http://richannel.org
The Ri is on Twitter: http://twitter.com/ri_science
and Facebook: http://www.facebook.com/royalinstitution
and Tumblr: http://ri-science.tumblr.com/
Subscribe for the latest science videos: http://richannel.org/newsletter
If you imagine a three dimensional maze from which there is no escape, how can you map it? Is there a way to describe what all possible mazes look like, and how do mathematicians set about investigating them?
Subscribe for regular science videos: http://bit.ly/RiSubscRibe
Caroline Series describes how hyperbolic geometry is playing a crucial role in answering such questions, illustrating her talk with pictures that have inspired some striking examples of digital art.
Caroline Series is Professor of Mathematics at the Warwick Mathematics Institute, University of Warwick
Her academic interests are in hyperbolic geometry, Kleinian groups and dynamical systems. Her research has been on the theory of dynamical systems and geometric patterns in three-dimensional hyperbolic spaces.
Her work has been recognised through awards and prizes, most recently with the Senior Anne Bennett Prize from the London Mathematical Society. She is also a founding member of the European Women in Mathematics (EWM), which aims to support and encourage female mathematicians across Europe.
This was filmed at a Friday Evening Discourse at the Royal Institution on 28 November 2014.
Subscribe for regular science videos: http://bit.ly/RiSubscRibe
Watch more science videos on the Ri Channel http://richannel.org
The Ri is on Twitter: http://twitter.com/ri_science
and Facebook: http://www.facebook.com/royalinstitution
and Tumblr: http://ri-science.tumblr.com/
Subscribe for the latest science videos: http://richannel.org/newsletter
published:11 Feb 2015
views:3912
Common Physical Network Topologies - CompTIA Network+ N10-004: 2.3
See our entire index of CompTIA Network+ videos at http://www.FreeNetworkPlus.com - Networking fundamentals include many different physical network topology ...
See our entire index of CompTIA Network+ videos at http://www.FreeNetworkPlus.com - Networking fundamentals include many different physical network topology ...
Our study of point set topology (also known as elementary topology & general topology) starts with definitions of open sets, closed sets, the topological spa...
Our study of point set topology (also known as elementary topology & general topology) starts with definitions of open sets, closed sets, the topological spa...
http://www.coa.edu 2010.02.09 Introduction to Topology: From the Konigsberg Bridges to Geographic Information Systems. Topology is the study of the spatial p...
http://www.coa.edu 2010.02.09 Introduction to Topology: From the Konigsberg Bridges to Geographic Information Systems. Topology is the study of the spatial p...
In this video I walk what the Microsoft Active Directory Topology Diagrammer user interface looks like. We connect to my domain controller and draw visio diagrams of Active Directory.
In this video I walk what the Microsoft Active Directory Topology Diagrammer user interface looks like. We connect to my domain controller and draw visio diagrams of Active Directory.
published:30 Mar 2014
views:639
ZBRUSH 4R7 TUTORIAL_TOPOLOGY METHOD FOR ZMODELER (DETAIL)
PLEASE DON'T FORGET TO LIKE , COMMENT ,SHARE AND SUBSCRIBE..:)
DOWNLOAD MODEL FROM DESCRIBTION OF VIDEO--
https://www.youtube.com/watch?v=RQ7nal5B2vA
ZBRUSH 4R7_TOPOLOGY METHOD FOR ZMODELER
In this tutorial, I shall cover the technique of creating topology for zmodeler.
Zmodeler is a new pack of tools for polymodeling in zbrush...In some cases zmodeler tools are awsome in use .However it is a first step of Pixology toward polymodeling....
This brush is geared specifically towards low polygon modeling, but not limited to. Adding-on to the standard methods of low polygon modeling, It has all in one Brush that will allow you not only access all low poly modeling functions, but also intuitively develops a brush workflow. Some of the features in this brush include adding and removing multiple edge loops, beveling, extruding multiple surfaces, smooth subdivision modifiers, bridging holes and surfaces, and more.
So, please don't wait and start it to learn...It is very essential tool....If you learned and enjoy something from this video make sure to like this video and subscribe the channel for upcoming new tutorials.
Thanks for watching,
The CG3DANK Team
Tutorials - Inspire - News
SUBSCRIBE TO : https://www.youtube.com/channel/UCaIwbxPPFqjz1VtNyIggGXg
FACEBOOK :https://www.facebook.com/pages/Cg3dank-CG-Tutorials-more/305078613026471?ref=bookmarks
BLOG : http://cg3dank.blogspot.in/
PLEASE DON'T FORGET TO LIKE , COMMENT ,SHARE AND SUBSCRIBE..:)
DOWNLOAD MODEL FROM DESCRIBTION OF VIDEO--
https://www.youtube.com/watch?v=RQ7nal5B2vA
ZBRUSH 4R7_TOPOLOGY METHOD FOR ZMODELER
In this tutorial, I shall cover the technique of creating topology for zmodeler.
Zmodeler is a new pack of tools for polymodeling in zbrush...In some cases zmodeler tools are awsome in use .However it is a first step of Pixology toward polymodeling....
This brush is geared specifically towards low polygon modeling, but not limited to. Adding-on to the standard methods of low polygon modeling, It has all in one Brush that will allow you not only access all low poly modeling functions, but also intuitively develops a brush workflow. Some of the features in this brush include adding and removing multiple edge loops, beveling, extruding multiple surfaces, smooth subdivision modifiers, bridging holes and surfaces, and more.
So, please don't wait and start it to learn...It is very essential tool....If you learned and enjoy something from this video make sure to like this video and subscribe the channel for upcoming new tutorials.
Thanks for watching,
The CG3DANK Team
Tutorials - Inspire - News
SUBSCRIBE TO : https://www.youtube.com/channel/UCaIwbxPPFqjz1VtNyIggGXg
FACEBOOK :https://www.facebook.com/pages/Cg3dank-CG-Tutorials-more/305078613026471?ref=bookmarks
BLOG : http://cg3dank.blogspot.in/
published:10 May 2015
views:768
Problems in Topology, Post-Perelman - Stephen Smale
This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014. Topology and geometry have become useful to...
36:27
Introduction to Higher Mathematics - Lecture 14: Topology
Here we delve a bit into the realm of topology, adding a notion of "closeness" to our sets...
Featuring Professor Carlo Séquin - see more from him at: http://bit.ly/carlosequin More on this topic soon... Animation by Pete McPartlan: http://bit.ly/Pete...
3:50
Hitler Learns Topology
Hitler gets confused about the topological definitions of open and closed sets. Then he to...
This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in ...
56:29
Differential Topology | Lecture 1 by John W. Milnor
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lec...
Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewp...
55:48
MathHistory17: Topology
This video gives a brief introduction to Topology. The subject goes back to Euler (as do s...
This video gives a brief introduction to Topology. The subject goes back to Euler (as do so many things in modern mathematics) with his discovery of the Eule...
77:06
Lecture 1: Topology (International Winter School on Gravity and Light 2015)
As part of the world-wide celebrations of the 100th anniversary of Einstein's theory of ge...
published:10 Feb 2015
Lecture 1: Topology (International Winter School on Gravity and Light 2015)
Lecture 1: Topology (International Winter School on Gravity and Light 2015)
published:10 Feb 2015
views:41
As part of the world-wide celebrations of the 100th anniversary of Einstein's theory of general relativity and the International Year of Light 2015, the Scientific Organizing Committee makes available the central 24 lectures by Frederic P Schuller.
Titled "A thorough introduction to the theory of general relativity", the lectures introduce the mathematical and physical foundations of the theory in 24 self-contained lectures. The material is developed step by step from first principles and aims at an audience ranging from ambitious undergraduate students to beginning PhD students in mathematics and physics.
Satellite Lectures (see other videos on this channel) by Bernard F Schutz (Gravitational Waves), Domenico Giulini (Canonical Formulation of Gravity), Marcus C Werner (Gravitational Lensing) and Valeria Pettorino (Cosmic Microwave Background) expand on the topics of this central lecture course and take students to the research frontier.
Access to further material on www.gravity-and-light.org/lectures and www.gravity-and-light.org/tutorials
Visit my website at http://thenewboston.com for all of my videos! My Google+ - https://plus.google.com/108291790892450338168/posts Facebook - http://www.face...
3:25
CG101: What is Topology and Why is it important?
Learn more: http://www.digitaltutors.com/tutorial/712-CG101-Modeling When building 3d geom...
Learn more: http://www.digitaltutors.com/tutorial/712-CG101-Modeling When building 3d geometry, the layout of the edges is very important in getting good res...
13:40
General Topology Lecture 1 Part 1
Lecture written by Victor Victorov and edited and presented by James Dilts Definition and ...
Lecture written by Victor Victorov and edited and presented by James Dilts Definition and Examples.
57:34
Topology, Geometry and Life in Three Dimensions
If you imagine a three dimensional maze from which there is no escape, how can you map it?...
published:11 Feb 2015
Topology, Geometry and Life in Three Dimensions
Topology, Geometry and Life in Three Dimensions
published:11 Feb 2015
views:3912
If you imagine a three dimensional maze from which there is no escape, how can you map it? Is there a way to describe what all possible mazes look like, and how do mathematicians set about investigating them?
Subscribe for regular science videos: http://bit.ly/RiSubscRibe
Caroline Series describes how hyperbolic geometry is playing a crucial role in answering such questions, illustrating her talk with pictures that have inspired some striking examples of digital art.
Caroline Series is Professor of Mathematics at the Warwick Mathematics Institute, University of Warwick
Her academic interests are in hyperbolic geometry, Kleinian groups and dynamical systems. Her research has been on the theory of dynamical systems and geometric patterns in three-dimensional hyperbolic spaces.
Her work has been recognised through awards and prizes, most recently with the Senior Anne Bennett Prize from the London Mathematical Society. She is also a founding member of the European Women in Mathematics (EWM), which aims to support and encourage female mathematicians across Europe.
This was filmed at a Friday Evening Discourse at the Royal Institution on 28 November 2014.
Subscribe for regular science videos: http://bit.ly/RiSubscRibe
Watch more science videos on the Ri Channel http://richannel.org
The Ri is on Twitter: http://twitter.com/ri_science
and Facebook: http://www.facebook.com/royalinstitution
and Tumblr: http://ri-science.tumblr.com/
Subscribe for the latest science videos: http://richannel.org/newsletter
As the body count from the horrific Hajj stampede reached 719, the backlash started. Within hours, Saudi Arabia's regional rival Iran had laid the blame for the deaths squarely on the heads of the House of Saud. Saudi officials, by contrast, claimed "some pilgrims who didn't follow the guidelines issued" may have been responsible for the sudden crush on the half-mile-long, five-storey Jamarat Bridge near Mecca... Haj stampede ... READ ALSO ... ....
About a third of refugees arriving in Germany who claim to be from Syria are actually not from that country, a spokesman for the German interior ministry has said ... On Thursday, ChancellorAngela Merkel and Germany's 16 state governors agreed on measures designed to streamline the country's handling of the refugee arrivals ... Source. Al Jazeera and agencies. ....
Black holes typically come in one of two sizes. stellar mass and supermassive. Astronomers believe that there are black holes that fit between these two extremes but finding them has proven difficult, with only a half-dozen candidates currently kno...... ....
photo: Public Domain / NASA, ESA, and The Hubble Heritage Team STScI/AURA)
NASA has released an absolutely beautiful photo taken by the Hubble Space Telescope of the debris of a star that exploded 8,000 years ago. You’re looking at the Veil Nebula, a supernova remnant more than 2,000 light-years away ... Read this next....
The stampede that killed at least 700 people performing the Hajj pilgrimage outside the Islamic holy city of Mecca has once again raised questions over safety and the actions of the Saudi authorities. The Hajj is one of the five pillars of Islam. Every able-bodied Muslim is required to perform it at least once in their lifetime ... It is estimated that two million people are performing this year's Hajj. Communication problems ... Hajj ... 2006 ... ....
The three-dimensional topological Dirac semimetal, as a new type of topological materials, has attracted great attention in condensed matter physics. There, the conduction and valence band touch only at discrete points and disperse linearly along all (three) momentum directions-a natural 3D counterpart of graphene, as well as a gapless topological insulator....
(Source. Universität Innsbruck). Researchers in Florence and Innsbruck have simulated a physical phenomenon in an atomic quantum gas that can also be observed at the edge of some condensed matter systems. chiral currents ...Condensed matter physics remains a field of study with many puzzles to solve ... Hopping atoms ... These exotic quasi particles are suggested to being suitable as the main building block for topological quantum computers....
(Source. Frost & SullivanLimited). September 25, 2015. CT Applications in Manufacturing Shift to IncludeQuality Control. Improvements in scanning speed and multi-material parts analysis will unearth opportunities across industries, finds Frost & Sullivan ...http.//bit.ly/1F6QV0l ... Moreover, end-users are turning to flexible CT solutions that can scan any type of surface topology and reach components not visible from outside ... Contact Us ... P ... F....
MOUNTAIN VIEW, Calif., Sept. 25, 2015 /PRNewswire/ -- The nascent computed tomography (CT) metrology market is rapidly climbing the ranks of the overall dimensional metrology domain, spurred by consistent technical advancements ...http.//bit.ly/1F6QV0l ... Moreover, end-users are turning to flexible CT solutions that can scan any type of surface topology and reach components not visible from outside ... About Frost & Sullivan ... NF4D-30 ... P....
(Source. Verizon Communications Inc).Mission. To combat the difficulties of finding people at sea and in the ocean (e.g ...BounceImaging - Boston, MA. Mission ... Chromation - New York, NY ... To assist hikers that travel through remote areas with varying topology and within cellular network range, the company has developed a smart flare containing GPS and cellular components that allow users trapped within network dark spots due to topology....
HERNDON, Va., Sept. 24, 2015 /PRNewswire/ -- VT iDirect, Inc. (iDirect), a company of Vision Technologies Systems, Inc ... iDirect is a world leader in satellite-based IP communications technology ... With the release of L2oS in Evolution 3.3.3, iDirect now offers the option to deploy networks using layer two, layer three, or even a hybrid mode where both topologies exist within one network ... government and defense communities ... ....
(Source. University of Houston - Clear Lake) September 24, 2015 . Kelsie Cleboski. 'Minions,' artists to feature in comic celebration. Kick off a weekend of free, geeky fun with a presentation of the movie "Minions" at University of Houston-Clear Lake Friday, Sept ... - 5 p.m. on Saturday ... 3, 9 a.m ... on Wednesday Oct ... The courses cover network technologies, installation and configuration, media and topologies, management and security....
(Source. West Virginia University). Editor's Note. Photos are available on WVUToday. Video is available for download at http.//go.wvu.edu/1JrRlct. DanielCarder is available to offer commentary to the media ... The test plan covered a wide variety of topological, road and ambient conditions as well as traffic densities over three major urban areas along the west coast - San Diego, Los Angeles and San Francisco ... -WVU-. ms/09/24/15. CONTACT ....
(Source. Corning Inc).Corning Incorporated (NYSE. GLW) today announced the general availability of a new mid-power remote and enhanced software that leverages the advanced capabilities of the company's ONE™ Wireless headend and further extends the suitability of the ONE platform for projects with diverse topologies... Corning will also demonstrate an enhanced management software tool ... 9-11, 2015 at the Sands ExpoCenter in Las Vegas....
NEW YORK, Sept. 24, 2015 /PRNewswire/-- Big ideas can come from anywhere ... The 36 finalists organized by category..Emergency Response ... Mission ... Mission ... Mission ... Mission ... "seeds") ... Mission ... To assist hikers that travel through remote areas with varying topology and within cellular network range, the company has developed a smart flare containing GPS and cellular components that allow users trapped within network dark spots due to topology ... ....
NEW YORK, Sept. 24, 2015 /PRNewswire/-- Big ideas can come from anywhere ... The 36 finalists organized by category..Emergency Response ... Mission ... Mission ... Mission ... Mission ... "seeds") ... Mission ... To assist hikers that travel through remote areas with varying topology and within cellular network range, the company has developed a smart flare containing GPS and cellular components that allow users trapped within network dark spots due to topology....
Topology optimization achieved the unique shape of the lantern bracket held by Sandia National Laboratories' Ted Blacker and displayed in the topology optimization program behind him ... Sandia National Laboratories researchers believe such organically shaped designs, achieved through a technology called topology optimization, could enable better parts for national security systems and other vital uses....